You can start looking for a property, and applying for a loan - but your approval will be conditional upon providing final divorce papers (with all details - financial details will be checked out by the bank).
In other words, if after approval you provide the papers and all checks out, the bank will give you their "clear to close". If not, and you are behind on your commitment date (as per contract), you might loose your escrow deposit...
So start going but make sure not to finalize anything as of yet...
Best of luck,
CDPE - Certified Distressed Property Expert
Beachfront Realty, Inc.